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Finding the Fourth Proportional to 400,538.42, 600,806.09 and 163,881.03

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Solution

The fourth proportional to 400,538.42, 600,806.09 and 163,881.03 is: 245,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,538.42 : 600,806.09 = 163,881.03 : x
  2. Step 2: Convert to fraction form
    400,538.42/600,806.09 = 163,881.03/x
  3. Step 3: Cross multiply
    400,538.42x = 600,806.09 × 163,881.03
  4. Step 4: Simplify right side
    400,538.42x = 98,460,721,269.18
  5. Step 5: Solve for x
    x = 98,460,721,269.18/400,538.42
  6. Step 6: Final answer
    x = 245,820.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.